The slope of the tangent to the curve $y = ln\, (cos\,x)$ a $x = \frac{3\pi}{4}$ is
$1$
$-1$
$\ln \,\sqrt 2 $
$\frac{1}{{\sqrt 2 }}$
As $\theta$ increases from $0^{\circ}$ to $90^{\circ}$, the value of $\cos \theta$ :-
Two particles $A$ and $B$ are moving in $X Y$-plane.
Their positions vary with time $t$ according to relation :
$x_A(t)=3 t, \quad x_B(t)=6$
$y_A(t)=t, \quad y_B(t)=2+3 t^2$
Distance between two particles at $t =1$ is :
A particle moves along the straight line $y=3 x+5$. Which coordinate changes at a faster rate?
Magnitude of slope of the shown graph.